2976928768 has 88 divisors (see below), whose sum is σ = 6546207744. Its totient is φ = 1341849600.

The previous prime is 2976928753. The next prime is 2976928783. The reversal of 2976928768 is 8678296792.

It is an interprime number because it is at equal distance from previous prime (2976928753) and next prime (2976928783).

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1429488 + ... + 1431568.

Almost surely, 2^2976928768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2976928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273103872).

2976928768 is an abundant number, since it is smaller than the sum of its proper divisors (3569278976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2976928768 is a wasteful number, since it uses less digits than its factorization.

2976928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2221 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 64.

The square root of 2976928768 is about 54561.2386956161. The cubic root of 2976928768 is about 1438.5428882103.

The spelling of 2976928768 in words is "two billion, nine hundred seventy-six million, nine hundred twenty-eight thousand, seven hundred sixty-eight".